x³+y³+z³=8
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Answer:
⇒x3+y3+z3=(12)(96−24)+2=12∗72+2=866
Step-by-step explanation:
Given x+y+z=12
Squaring it we get
x2+y2+z2+2(xy+yz+zx)=144
Therefore xy+yz+zx=24
Also 1/x+1/y+1/z=36
Implies (xy+yz+zx)/xyz=36
⇒xyz=(xy+yz+zx)/36=24/36=2/3
We know (x3+y3+z3)=(x+y+z)(x2+y2+z2−xy−yz−zx)+3xyz
⇒x3+y3+z3=(12)(96−24)+2=12∗72+2=866
Answered by
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Step-by-step explanation:
I hope it will help you
thank you
we have to verify LHS =RHS
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